SIMULATION OF SPACE-RANDOM FIELDS FOR SOLUTION OF STOCHASTIC BOUNDARY-VALUE PROBLEMS

The technique of digital simulation of Gaussian random fields (which are nonhomogeneous in space or are part of homogeneous random fields in space) is presented to a solution of stochastic boundary-value problems. The method consists of expanding the simulated field, with known mean and autocorrelation function, in series in terms of the structural “natural” mode shapes, and the Fourier coefficients of the truncated series are then simulated as random normal vectors. The method is applicable to static or dynamic stochastic two-point boundary-value problems in mechanics of solids. © 1979, American Institute of Physics. All rights reserved.